Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 138, 353, 40, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 353, 40, 871 is 1
GCD(138, 353, 40, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 353, 40, 871 is 1
GCD(138, 353, 40, 871) = 1
Given Input numbers are 138, 353, 40, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 138, 353, 40, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 353, 40, 871 is 1.
Therefore, GCD of numbers 138, 353, 40, 871 is 1
Given Input Data is 138, 353, 40, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 353 is 353
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 871 is 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(138, 353) = 48714
GCD(138, 353) = ( 138 x 353 ) / 48714
GCD(138, 353) = 48714 / 48714
GCD(138, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 138, 353, 40, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 353, 40, 871?
GCD of 138, 353, 40, 871 is 1
2. Where do I get the detailed procedure to find GCD of 138, 353, 40, 871?
You can find a detailed procedure to find GCD of 138, 353, 40, 871 on our page.
3. How to find GCD of 138, 353, 40, 871 on a calculator?
You can find the GCD of 138, 353, 40, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.